The introduction of the test itself may change its effectiveness (reducing it). Cancer is an evolving condition that your immune system fights. Perhaps it's not very useful to characterize the test before it's applied since the test itself may change its efficacy. If you start exercising and dieting in response to the potential diagnosis it'll definitely help.
If we had a test that detected everyone and they believed it, we'd improve cancer rates.
Unfortunately I can't edit my comment anymore.